Research Article

Global Optimization of Redescending Robust Estimators

Table 6

Circles and corresponding parameters obtained with the Geman–McClure estimator computed by GO: for each solution (Solution No.), xc and yc are the coordinates of the center, r the radius, L the circumference length, No. Points: the number of points generated for the circle, and P1, P2, P3 are the circle parameters. Circle No. is the corresponding circle number in Table 3.

Solution no.xcycrP1P2P3Circle no.

119.9979.9967.999−39.995−19.992435.8332
219.99631.9965.003−39.992−63.9931398.5934
339.97118.0257.489−79.942−36.0491866.5027
49.9679.9745.027−19.934−19.947173.5341
555.00028.0004.998−110.001−56.0003784.0775
620.03820.0034.987−40.075−40.006776.7553
744.99427.9933.004−89.987−55.9872799.0236